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Finding the Fourth Proportional to 821.60, 1,231.82 and 659.24

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Solution

The fourth proportional to 821.60, 1,231.82 and 659.24 is: 988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.60 : 1,231.82 = 659.24 : x
  2. Step 2: Convert to fraction form
    821.60/1,231.82 = 659.24/x
  3. Step 3: Cross multiply
    821.60x = 1,231.82 × 659.24
  4. Step 4: Simplify right side
    821.60x = 812,065.02
  5. Step 5: Solve for x
    x = 812,065.02/821.60
  6. Step 6: Final answer
    x = 988.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.